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Finding the Third Proportional to 70,794 and 152,082

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Solution

The third proportional to 70,794 and 152,082 is: 326,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,794 : 152,082 = 152,082 : x
  2. Step 2: Convert to fraction form
    70,794/152,082 = 152,082/x
  3. Step 3: Cross multiply
    70,794x = 152,082 × 152,082
  4. Step 4: Simplify right side
    70,794x = 23,128,934,724
  5. Step 5: Solve for x
    x = 23,128,934,724/70,794
  6. Step 6: Final answer
    x = 326,707.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.